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Finding the Fourth Proportional to 32,770.93, 45,228.75 and 20,031.46

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Solution

The fourth proportional to 32,770.93, 45,228.75 and 20,031.46 is: 27,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.93 : 45,228.75 = 20,031.46 : x
  2. Step 2: Convert to fraction form
    32,770.93/45,228.75 = 20,031.46/x
  3. Step 3: Cross multiply
    32,770.93x = 45,228.75 × 20,031.46
  4. Step 4: Simplify right side
    32,770.93x = 905,997,896.48
  5. Step 5: Solve for x
    x = 905,997,896.48/32,770.93
  6. Step 6: Final answer
    x = 27,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.